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2013•Unpublished venueRequires access

Some Theorems on Systems of Meromorphic Functions

Ma Ling

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Abstract

In this paper,by Nevanlinna theory of the value distribution of meromorphic functions and the theory of the uniqueness of meromorphic functions,some theorems on systems of meromorphic functions are generalized,and some theorems on systems of meromorphic functions concerning small functions are obtained and proved.The results obtained here play very an important role in theory of the uniqueness of meromorphic functions.

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What this paper is about

In this paper,by Nevanlinna theory of the value distribution of meromorphic functions and the theory of the uniqueness of meromorphic functions,some theorems on systems of meromorphic functions are generalized,and some theorems on systems of meromorphic functions concerning small functions are obtained and proved.The results obtained here play very an important role in theory of the uniqueness of meromorphic functions.

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Available abstract

In this paper,by Nevanlinna theory of the value distribution of meromorphic functions and the theory of the uniqueness of meromorphic functions,some theorems on systems of meromorphic functions are generalized,and some theorems on systems of meromorphic functions concerning small functions are obtained and proved.The results obtained here play very an important role in theory of the uniqueness of meromorphic functions.

Key concepts: Meromorphic function, Uniqueness, Mathematics, Nevanlinna theory, Uniqueness theorem for Poisson's equation, Pure mathematics, Distribution (mathematics), Algebra over a field

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